Conversion of Units

Q.

The floor of a rectangular hall is to be covered with a carpet $0.75\text{m}$ wide . If the length and breadth of the hall is $18\text{m}$ and $15\text{m}$ respectively . Find the cost of the carpet at $₹6$ per meter ?

Q.

Question 5 (ii)

A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:
The cost of planting grass in the remaining portion of the garden at the rate of ₹ 40 per $m^2$

Q.

Question 69

State whether the statement is True or False.

5 hectare = $500m^2$

Q. Question 3
The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 - (3.5 + 3.5 meters)]

Q.

Question 34

Fill in the blanks to make the statements true.

$1m^2=$ ___ $c{m}^2$

Q.

Question 35

Fill in the blanks to make the statements true.

$1m^3=$ ___ $c{m}^3$

Q. By selling $36$ oranges, a vendor suffers a loss equal to the selling price of $4$ oranges. Find his loss percent.

Q.

Question 34

Fill in the blanks to make the statements true.

$1m^2=$ ___ $c{m}^2$

Q.

Question 171

The diameter of the Sun is $1.4\times {10}^9$m and the diameter of the Earth is $1.2756\times {10}^7$ m. Compare their diameters by division.

Q. In what time will Rs. $8000$ amount to Rs. $8820$ at $5\%$ p.a. compounded annually?

Q. The number of zeros at the end of $60!$ is:

1. $14$
2. $12$
3. $16$
4. $18$

Q.

The figure represents a rectangular lawn with a circular flower bed in the middle.

Find: (i) the area of the whole land

(ii) the area of the flower bed

(iii) the area of the lawn excluding the area of the flower bed

(iv) the circumference of the flower bed.

10m 5m 

Q. One $cm$ is equal to $10mm$. How many squares $mm$ are there in one square $cm$?

1. $10sq.mm$
2. $20sq.mm$
3. $100sq.mm$
4. $1000sq.mm$

Q. Arjun, Bineet and Karan start at the same time in the same direction to run around a circular stadium. Arjun completes a round in 252 seconds, Bineet in 308 seconds and Karan in 198 seconds, all starting at the same point. After what approximate time will they again at the starting point?

1. 160 minutes
2. 180 minutes
3. 200 minutes
4. 210 minutes

Q. Four horses are tethered with equal ropes at 4 corners of a square field of side 70 m so that they just can reach one another. Find the area left ungrazed by the horses.

Q. Find ratio of the lateral surface area and total surface area of a cuboid of length $80$cm , breadth $40$ cm and height $20$ cm

1. $\frac{3}{14}$
2. $\frac{5}{13}$
3. $\frac{14}{23}$
4. $\frac{3}{7}$

Q. Four horses are tethered with equal ropes at 4 corners of a square field of side 70 m so that they just can reach one another. Find the area left ungrazed by the horses.

Q.

Simplify $8.57-4.6632-1.7+0.863-0.123.$

Q. In what time will Rs. $1000$ amount to Rs. $1331$ at $10\%$ p.a. in CI?

1. $4$ years
2. $3$ years
3. $2$ years
4. $1$ year

Q. In the figure, a kite ABCD, if $AB=5.2cmandAD=3.8cm$, then its perimeter is

1. 9 cm
2. 18 cm
3. 16 cm
4. 8 cm

Q. There is a pentagonal shaped park as shown in figure. For finding its area jyoti and kavita divided it into two different ways. Find the area of the park using both the ways.

Q. A train crosses a 120 meter long platform in 12 seconds and a pillar in 2 seconds. Find the train length and train speed in km/h.

Q. Let $a,b$ and $c$ be non-zero numbers such that $c$ is $24$ greater than $b$ and $b$ is $24$ greater than $a$. If $\frac{c}{a}=3$, then find the value of $b$.

1. $-48$
2. $-24$
3. $24$
4. $48$

Q. A number consists of 3 different digits. The one's and hundred's place digits are both divisible by $3$. The ten's and one's place digits are both divisible by $2$. The hundred's place digit is third multiple of $3$. What is the number?

1. $956$
2. $949$
3. $946$
4. $969$

Q.

Simplify $25.9-63.4557+81.132-20.169.$

Q. a drum full of rice weighs 40 1/6 kg if the empty drum weighs 13 3/4 find the weight of rice in the drum

Q.

Near Ted’s house, there is a circular park. In this park, there are rectangular and circular paths with width 1.5 m. The rectangular paths pass through center of the park. The local community decided to put grass beds on entire pathway. The inner radius of the circular path is 8 m. If the distance between any of the gates and the circular path is 2.5 m, find the cost of putting grass beds on the entire pathway at 0.1 paise per square cm.

1. Rs. 1185

2. Rs. 1545

3. Rs. 1432.5

4. Rs. 1522.5

Q. 1000 cubic millimetres - 1 cubic ---------------

Q.

Add: $6.0+1.5+2.5$ ?

Q. The $\text{C.I}$ on a certain sum at $5\%$ for $2$ years is Rs. $328$. The $\text{S. I}$ for that sum at the same rate and for the same period will be:

1. Rs. $322$
2. Rs. $320$
3. Rs. $325$
4. Rs. $326$